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Step-by-step Solution

Derive the function 141*-*arctan(((x^3)/3)) with respect to x

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Answer

$x^{2}\cdot\frac{-141}{1+\left(\frac{x^3}{3}\right)^2}$

Step-by-step explanation

Problem to solve:

$\frac{d}{dx}\left(141\left(-1\right)\cdot arctan\left(\frac{x^3}{3}\right)\right)$
1

Multiply $141$ times $-1$

$\frac{d}{dx}\left(-141arctan\left(\frac{x^3}{3}\right)\right)$
2

The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function

$-141\frac{d}{dx}\left(arctan\left(\frac{x^3}{3}\right)\right)$

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Answer

$x^{2}\cdot\frac{-141}{1+\left(\frac{x^3}{3}\right)^2}$

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$\frac{d}{dx}\left(141\left(-1\right)\cdot arctan\left(\frac{x^3}{3}\right)\right)$

Main topic:

Differential calculus

Used formulas:

4. See formulas

Time to solve it:

~ 0.42 seconds